Analogue black hole in magnetohydrodynamics

TL;DR

This paper explores an analogue black hole in magnetohydrodynamics, showing how magnetic fields influence horizon formation and Hawking radiation, potentially aiding experimental detection.

Contribution

It introduces a magnetohydrodynamic model for analogue black holes, highlighting magnetic field effects on horizon properties and Hawking radiation enhancement.

Findings

Magnetic fields create a pressure that affects the magnetoacoustic speed.

The magnetic field enhances the temperature of Hawking radiation.

The model demonstrates a curved spacetime analogy in plasma dynamics.

Abstract

We consider an irrotational plasma fluid evolving under the effect of a background magnetic field. The magnetohydrodynamic formalism is used to describe the electromagnetic waves and the dynamics is described by a scalar field that follows a second order differential equation. This equation can also be recovered as the wave equation associated to a field in a curved space-time. Through this analogy we recreate a sonic horizon, equivalent to those found in perfect fluid theories. However, in this case, the magnetic field creates a pressure in the plasma which contributes to the magnetoacoustic speed that builds the horizon. This effect enhances the temperature produced by the Hawking radiation expected from this analogue black hole, and eventually, making its experimental detection worth to consider.